167 citations · 523 across the 43 of their papers we have counts for
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The linear hyperbolic initial and boundary value problems in a domain with corners
Aimin Huang, Roger Temam
In this article, we consider linear hyperbolic Initial and Boundary Value Problems (IBVP) in a rectangle (or possibly curvilinear polygonal domains) in both the constant and variab…
Grisvard's shift theorem near L^infinity and Yudovich theory on polygonal domains
Francesco Di Plinio, Roger Temam
Let Omega be a bounded, simply connected domain with boundary of class C^{1,1} except at finitely many points S_j where the boundary is locally a corner of aperture alpha_j<=pi/2.…
Global existence for fully nonlinear reaction-diffusion systems describing multicomponent reactive flows
Martine Marion, Roger Temam
We consider combustion problems in the presence of complex chemistry and nonlinear diffusion laws leading to fully nonlinear multispecies reaction-diffusion equations. We establish…
Martingale and Pathwise Solutions to the Stochastic Zakharov-Kuznetsov Equation with Multiplicative Noise
Nathan Glatt-Holtz, Roger Temam, Chuntian Wang
We study in this article the stochastic Zakharov-Kuznetsov equation driven by a multiplicative noise. We establish, in space dimensions two and three the global existence of martin…
The 3-dimensional oscillon equation
Francesco Di Plinio, Gregory S. Duane, Roger Temam
On a bounded three-dimensional smooth domain, we consider the generalized oscillon equation with Dirichlet boundary conditions, with time-dependent damping and time-dependent squar…